Find the 74th percentile, P74, from the following data 13 14.3 14.4 17.5 18.6 19.1 20.3 20.7 21.9 22.6 26.7 27.9 28.1 28.8 30 32.1 35.8 36.7 37.8 38.3 39.2 39.9 41.2 42.5 47.7 49.6 49.8 P74 %3D

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Educational Website Content:**

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**Question 7**

Find the 74th percentile, \( P_{74} \), from the following data:

|   |   |   |   |   |   |
|---|---|---|---|---|---|
| 13.0 | 14.3 | 14.4 | 17.5 | 18.6 | 19.1 |
| 20.3 | 20.7 | 21.9 | 22.6 | 26.7 | 27.9 |
| 28.1 | 28.8 | 30.0 | 32.1 | 35.8 | 36.7 |
| 37.8 | 38.3 | 39.2 | 39.9 | 41.2 | 42.5 |
| 47.5 | 49.6 | 49.8 |     |     |     |

\( P_{74} = \) [Input box]

Submit Question [Button]

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**Explanation:**

This exercise asks learners to determine the 74th percentile from a given dataset. The data are organized in a table format with multiple rows and columns. The values range from 13.0 to 49.8 and are presumably in ascending order. 

To find the 74th percentile, one should follow these steps:
1. **Count the numbers**: Determine the total number of data points.
2. **Calculate the rank**: Use the formula \((P/100) \times (N+1)\) where \(P\) is the percentile (74 in this case) and \(N\) is the total number of data points.
3. **Locate the percentile**: Use the calculated rank to find the value in the dataset.

This exercise aids in understanding how to calculate and interpret percentiles, which are essential for statistical analysis.
Transcribed Image Text:**Educational Website Content:** --- **Question 7** Find the 74th percentile, \( P_{74} \), from the following data: | | | | | | | |---|---|---|---|---|---| | 13.0 | 14.3 | 14.4 | 17.5 | 18.6 | 19.1 | | 20.3 | 20.7 | 21.9 | 22.6 | 26.7 | 27.9 | | 28.1 | 28.8 | 30.0 | 32.1 | 35.8 | 36.7 | | 37.8 | 38.3 | 39.2 | 39.9 | 41.2 | 42.5 | | 47.5 | 49.6 | 49.8 | | | | \( P_{74} = \) [Input box] Submit Question [Button] --- **Explanation:** This exercise asks learners to determine the 74th percentile from a given dataset. The data are organized in a table format with multiple rows and columns. The values range from 13.0 to 49.8 and are presumably in ascending order. To find the 74th percentile, one should follow these steps: 1. **Count the numbers**: Determine the total number of data points. 2. **Calculate the rank**: Use the formula \((P/100) \times (N+1)\) where \(P\) is the percentile (74 in this case) and \(N\) is the total number of data points. 3. **Locate the percentile**: Use the calculated rank to find the value in the dataset. This exercise aids in understanding how to calculate and interpret percentiles, which are essential for statistical analysis.
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